These are the Cyrus family pets and pictures were taken from candids, mileyworld or Billy Ray's Home at Last TV show.
Texas T or Tex
Was treated badly before Miley's family took him in
Is a German Shepherd
Travels with Billy
Billy Ray's favourite dog

Loco
Came to LA with family
Gets upset when you call his name like he doesn't like it
Is a White Shitzu
Noah's favourite dog

Rosie
Lives in Nashville
Is a German Shepherd
She is the least mentioned so they may not have her anymore
Not really seen alot just on Home at last with Billy Ray at start
Fluke
Lives between Nashville and LA
Is a Labrador/Beagle mix
Her mother was badly treated
Was living on the streets when the Cyrus family found her

Juicy
Named after Juicy Couture
Is a black Shitzu
Loves to sleep according to Miley
Doesn't mention in interviews so she might not have her anymore

Rodeo or Roadie
Named after the Houston Rodeo show because got on same day
Miley loves to dress her up and can't do anything without her
Is a Yorkshire Terrier
Was originally named Minnie Pearl but changed it to Rodeo

Shooter
Named after Shooter Jennings
Is a Yorkshire Terrier
Miley had to have one after seeing her assistant with one
Bought from Bowling Green, KY(Christmas 2007)

Sofie
Was a present for Miley's sixteenth birthday
Is a Maltipoo (Maltese/Poodle Mix)
Named because Miley's grandad once had a dog named Sophie
View a site about sofie here owned by the breeders of Sofie

Mate
Named after Liam Hemsworth as he always says Mate
Is a White German Shepherd
Brandi posted a pic of him on twitter saying he loves his pink monkey
Miley is seen alot walking Mate

Jack
Bought on Easter Sunday 2008
Is a White Rabbit
Miley stated in a interview its her job to clean him out
Lives in LA but travels to Nashville with Cyrus Family

Zazu
bought in LA in June 08
Is a parrot
Featured in People's Special Edition
Miley gave him to Emily Grace Reaves (Noah's BFF)

Memphis
Lives on farm in Nashville
Is a horse
Is one of seven horses on the Cyrus Farm
Featured in People's Special Edition

Aswell as these there as some other pets Miley has:

Has six other horses including Memphis on her farm in Nashville

Has three cats in Nashville

Has loads of chickens back in Nashville

On the Mileyworld DVD says has a Donkey named Eeyore

On a Mileyworld video says has about 12 birds

On a Mileyworld video says has a gecko

On a Miley & Many video she says she got a talking parrot and shows one of her birds comet.

Had a Billy Goat named Billy at her home in Nashville. On Twitter Miley posted several pics with him and said he was rescued by her dad. However several weeks later she posted a tweet saying "RIP Billy" about the goat.

Has a cat called Nala in Nashville which had kittens. Miley releaved this on twitter with some pics

Noah also had a shit zu called Mocha and Trace Cyrus has two dogs a Maltipoo named Nash and a crossbred named Ashland